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Finding the Fourth Proportional to 13,553.72, 18,704.16 and 7,584.93

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Solution

The fourth proportional to 13,553.72, 18,704.16 and 7,584.93 is: 10,467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,553.72 : 18,704.16 = 7,584.93 : x
  2. Step 2: Convert to fraction form
    13,553.72/18,704.16 = 7,584.93/x
  3. Step 3: Cross multiply
    13,553.72x = 18,704.16 × 7,584.93
  4. Step 4: Simplify right side
    13,553.72x = 141,869,744.31
  5. Step 5: Solve for x
    x = 141,869,744.31/13,553.72
  6. Step 6: Final answer
    x = 10,467.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.